Questions on Word Problems: Translating English into Algebreze answered by real tutors!

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Question 250279: If Sally can paint a house in 4 hours, and John can paint the same house in 6 hour, how long will it take for both of them to paint the house together?
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Question 250455: Ariel had a fruit basket with 24 oranges and bananas. She had 3 times more oranges than bananas. She dropped 2 times more oranges than bananas. There were 15 pieces of fruit left.

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Question 251089: The members of a flying club plan to share equally the cost of a $200000. airplaine. The members want to find five more people to join the club so that the cost per person will decrease by $2000. How many members are currently in the club?
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Question 251225: I have $2.35 in nickles and dimes . If i have a total of 23 coins , how many of each coin do i have ?
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Question 251352: Tour company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Crespo Transportation service charges $24 initially plus $10 per mile for every mile traveled.
White an equation in two variables (x&Y)that illustrates the cost for the Cespo Transportation service.

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Question 251777: a mountain with a base 13112 feet below sea level rises 18,011 feet. What is the elevation above sea level of its peak?
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Question 251744: Twice a number,decreased by 9, is half the same number increased by 6
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Question 251381: The mortgage department of the company is selling two model homes that are located on the same block. The square footage, as well as the type of model, determines the cost of these homes.
The market gives a cost per square footage at $49.70. How much will each home cost before upgrades/amenities? explain

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Question 251364: Tour company must use a transportation service to shuttle their corporate partners from the airport for a quarterly meeting. Crespo Transportation service charges $24 initially plus $10 per mile for every mile traveled.
If you were to graph this system of linear equations, what is happening "graphically", where the services are changing same rate? explain

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Question 252503: Tom,Bob and Joe are brothers. their combined ages are 47. Joe was born 3 years before Bob and 4 years after Tom. How old is each brother?
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Question 252505: on a recent vacation, your uncle spent a total of $680 on airfare,hotel,and a rental car. the airfare cost twice as much as hotel, and the rental car was one-third as much as the hotel. use a linear system and Cramer's rule to find how much your uncle paid for each service
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Question 252504: a campground rents campsites for $12 per night. at this rate, all 90 campsites are usually rented. for each $1 increase in the price per night, about 3 less sites are rented. the campground's nightly revenue can be modeled by R=(90-3x)(12+x). use the vertex form to find how the campground can maximize nightly revenue
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Question 252638: Sharu has $2.35 in nickels and dimes. If he has a total of thirty-two coins, how many of each coin does he have?

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Question 252874: a speed boat travelling 60kph left the port 5 minutes after afishing boat sailed. If it overtakes the fishing boat after two hours, find the rate of the fishing boat.
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Question 252873: the sum of two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
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Question 252873: the sum of two numbers is 39. When the smaller number is doubled and the larger is increased by 3, the resulting numbers are equal. What are the numbers?
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Question 252872: eight less than three times a number is 36 more than one-fourth of the number.
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Question 250065: The sum of two numbers is 21. Twice the larger number is four times the smaller number. Find the two numbers
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Question 253216: 14 more than two times Johnny's age is the same as 6 less than three times his age. What is his age?
I apologize..it has been awhile sense I have had a real teacher to help me with things, I have not done word problems in a long time..
2xJ'sAge + 14...6-.....Bah..I haven't the common knowledge of this..I feel like this should be very easy but yeah, what I wrote is my guess, and a bad one at that..

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Question 247935: the sum of two consecutive even integers is 94
the sum of three consecutive odd integers is 123

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Question 247935: the sum of two consecutive even integers is 94
the sum of three consecutive odd integers is 123

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Question 254608: When 50% of a number is added to it, the result is 180. What is the number?
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Question 254891: When a number is decreased by 30% the result is 140, what number is it?
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Question 255095: three times a number, increased by four, is one half the same number, decreased by one
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Question 255123: I was wondering how you turn a word problem into an algebra equation.
ex1.1.) The total receipts for a basketball game are $1400 for 788 tickets sold. Adults paid $2.50 for admission and students paid $1.25. How many of each kind of tickets were sold?
If x is how many of each kind of tickets were sold i was wondering how you put it in an equation.

Thank you.

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Question 255123: I was wondering how you turn a word problem into an algebra equation.
ex1.1.) The total receipts for a basketball game are $1400 for 788 tickets sold. Adults paid $2.50 for admission and students paid $1.25. How many of each kind of tickets were sold?
If x is how many of each kind of tickets were sold i was wondering how you put it in an equation.

Thank you.

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Question 255288: total budget is 118,250.00 25% is for rent and utilities..how do I write it as an algabraic expression?
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Question 255369: what is the unit rate of change of y with respect to x if the slope of the graph of the equation for y in terms of x is 1/4?
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Question 255365: What is the slope of a line that is perpendicular to a line that has no slope? Explain the answer.
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Question 255353: the sum of two numbers is 172. the first is 8 less than 5 times the second. find the fist number.
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Question 255557: How many kilograms of water should be mixed with 60 kg of a 30% acid solution to make a 10% acid solution
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Question 255776: YOU ARE PLANNING TO SPEND NO LESS THAN $6000. AND NO MORE THAN $10000. ON YOUR LANDSCAPING PROJECT.
WRITE AN INEQUALITY THAT DEMONSTRATES HOW MUCH MONEY YOU ARE WILLING TO SPEND ON THE PROJECT.

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Question 256851: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?
I have tried:
3x+7=-11-2x
3x+2x=-11-7
x=-18
This is wrong according to my instructor. The answer is actually supposed to be -3. How?

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Question 256851: The sum of three times a number and 7 more than the number is the same as the difference between -11 and twice the number. What is the number?
I have tried:
3x+7=-11-2x
3x+2x=-11-7
x=-18
This is wrong according to my instructor. The answer is actually supposed to be -3. How?

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Question 256922: If 18.9=100%, what is 14.5? 10.3?
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Question 257035: two times a number plus three times another number equals 4.three times the first number plus four times the other number is 7.find the numbers.
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Question 257358: Part of a $12,000 investment earned interest at a rate of 7%, and the rest earned interest at a rate of 9%. The combined interest earned at the end of 1 year was $890. How much was invested at each rate?
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Question 257395: A fruit drink concentrate is 15% water. How many liters of pure water should be added to 12 L of concentrate to produce a mixture that is 50% water?
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Question 257394: A hospital needs 80 L of a 12% solution of disinfectant. How many liters of a 33% solution and a 5% solution should be mixed to obtain this 12% solution?
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Question 257357: A union contract requires at least one union steward for every 20 union employees or fraction thereof. Regular union employees earn $120/day, and union stewards earn $144/day. A company has a need for 50 total employees and has a daily payroll budget of $6,072. How many of each type of employees will meet the company's needs and consume all the budget?
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Question 257470: A math test has a bonus question. The directions simply state that if you answer the question correctly you will recieve 5 bonus points and your test grade will be increased by 7% of your score. Let x = test score before answering the bonus question.
a) write a function, f(x) to represent just the 5 bonus points
b) Write a function, g(X) to represent just the precent of increase.
c) Explain the meaning of f(g(x))
d) Explain the meaning of g(f(x))
e) Does f(g(x)) = g(f(x)) in the problem? Explain
**** Please help me answer all these questions, i really dont understand. Please and thank you!

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Question 257029: eight times a number plus five times another number is -13.the sum of the two numbers is 1.what are the numbers.

please help me solve this its about elimination using multiplication.i think

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Question 257393: An investment of $10,000 earned a net income of $345 in 1 year. Part of the investment was in bonds and earned income at a rate of 8%. The rest of the investment was in stocks and lost money at the rate of 5%. How much was invested in bonds, and how much was invested in stocks?
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Question 257625: A shop has enough food to feed 520 people for 8 days. 312 more people arrive. How long will the food last now?
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Question 257623: Fred is twice as old as Jane. Five years ago he was three times as old. What is Jane's age now?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790